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Volume 8, Issue 2
Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas

V. A. Titarev

DOI: 10.4208/cicp.180909.281209a

Commun. Comput. Phys., 8 (2010), pp. 427-444.

Published online: 2010-08

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  • Abstract

An implicit high-order accurate method for solving model kinetic equations is proposed. The method is an extension of earlier work on the construction of an explicit TVD method for hybrid unstructured meshes in physical space and is illustrated on the Poiseuille flow of rarefied gas. Examples of calculations are provided for different Knudsen numbers and mesh resolutions, which illustrate the efficiency and high accuracy of the new scheme.

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@Article{CiCP-8-427, author = {}, title = {Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas}, journal = {Communications in Computational Physics}, year = {2010}, volume = {8}, number = {2}, pages = {427--444}, abstract = {

An implicit high-order accurate method for solving model kinetic equations is proposed. The method is an extension of earlier work on the construction of an explicit TVD method for hybrid unstructured meshes in physical space and is illustrated on the Poiseuille flow of rarefied gas. Examples of calculations are provided for different Knudsen numbers and mesh resolutions, which illustrate the efficiency and high accuracy of the new scheme.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.180909.281209a}, url = {http://global-sci.org/intro/article_detail/cicp/7579.html} }
TY - JOUR T1 - Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas JO - Communications in Computational Physics VL - 2 SP - 427 EP - 444 PY - 2010 DA - 2010/08 SN - 8 DO - http://doi.org/10.4208/cicp.180909.281209a UR - https://global-sci.org/intro/article_detail/cicp/7579.html KW - AB -

An implicit high-order accurate method for solving model kinetic equations is proposed. The method is an extension of earlier work on the construction of an explicit TVD method for hybrid unstructured meshes in physical space and is illustrated on the Poiseuille flow of rarefied gas. Examples of calculations are provided for different Knudsen numbers and mesh resolutions, which illustrate the efficiency and high accuracy of the new scheme.

V. A. Titarev. (2020). Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas. Communications in Computational Physics. 8 (2). 427-444. doi:10.4208/cicp.180909.281209a
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